The distance of point from the axis of rotation of the second hand is 8.2 cm.
Here,
A point located on the second hand of a large clock has a radial acceleration of 0.09 cm/s2.
We have to find the distance of point from the axis of rotation of the second hand.
What is Rotation?
The circular motion of an object around the circle is called Rotation.
Now,
Let us consider the equation for the centripetal acceleration given by;
[tex]a_{c} = \frac{v^{2} }{r}[/tex]
where, v is the velocity and r is the radius.
Now, the velocity can be expressed as;
[tex]v = wr = \frac{2\pi r}{T}[/tex]
where, ω is the angular velocity and T is the period.
Solving for the radius using these equations given as;
[tex]a_{c} = \frac{v^{2} }{r}\\\\v^{2} = a_{c} r\\\\(\frac{2\pi r}{T} )^2 = a_{c} r\\\\\frac{4\pi ^{2}r^{2} }{T^{2} } = a_{c} r\\\\r = \frac{T^{2} a_{c} }{4\pi ^{2} } \\\\r = \frac{(60s)^2(0.09 cm/s^2)}{4\pi ^{2} } \\\\r = 8.2 cm[/tex]
Hence, The distance of point from the axis of rotation of the second hand is 8.2 cm.
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compare 6.51326 and square root of 39 show your work
equation for y.
1. 2x + y = -9
2x+y=-9
If you want to solve for y, then you would get y = -2x-9
This is the result after subtracting 2x from both sides. This is so we can undo the +2x that happens to the y variable.
Answer:
Infinitely many solutions (If its solved by systems of equations)
y = -2x - 9 (if you ONLY want to solve for y)
Step-by-step explanation:
Well you can solve this is 2 ways. Substitution and Elimination
SUBSTITUTION
2x + y = -9
2x+y=-9
Step 1: Solve 2x+y =−9 for y:
2x+y=−9
2x+y+−2x=−9+−2x(Add -2x to both sides)
y=−2x−9
Step: Substitute −2x−9 for y in 2x+y=−9:
2x+y=−9
2x+−2x−9=−9
−9=−9(Simplify both sides of the equation)
−9+9=−9+9(Add 9 to both sides)
Final answer -----> 0=0
ELIMINATION
2x + y = -9
2x+y=-9
Step 1: Multiply the second equation by -1, then add the equations together.
(2x + y = -9)
-1(2x+y=-9)
Which then becomes:
2x + y = -9
-2x - y = 9
Step 2: Add these equations to eliminate x:
Final answer -----> 0 = 0
suppose that your college administration wants to charge a $100 fee per term for a reserved parking space on campus. the administration wants to know the percentage of students at the college who would support this fee. which sampling plan will best represent the opinions of students at your college?
Answer: When students register online, the question appears in a pop-up window that must be answered in order to proceed with registering. If students register in person, make them answer the question before their registration is processed.
Step-by-step explanation:
Write 0.003 59 in standard form.
Answer:
answer is 3.59×10^-3.
.
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Damian is making dumplings. If he uses 1/2
cup of dough for each dumpling, how many cups of dough does Damian need to make 16 dumplings? Express your answer in simplest form.
Answer:
8 cups
Step-by-step explanation:
Amount of cups of dough for each dumpling × Number of dumplings = Number of cups of dough
1/2 × 16 = 8
8 is the simplest form; cannot be simplified.
Hope this helps! ^^
Given the following rate law, how does the rate of reaction change if the concentration of x is doubled? rate = k [x]2[y]3
The rate of reaction will increase by a factor of 4. The correct option is D.
What is the rate of reaction?In a reaction mechanism, a chemical reaction is depicted step-by-step. It is composed of separate chemical processes known as elementary stages. An elementary reaction is one that only requires one step to complete.
In an elementary reaction, the orders relative to each reactant are equal to the stoichiometric coefficient of that reactant. A provided rate law must be consistent with both the experimental rate law and the overall rate law that is being suggested.
The rate of reaction will be calculated as below:-
Rate (R) = k[x][y]²
R' = k[x][2y]²
R'=4k[x][y]²
R'=4R
Hence, the rate of reaction will increase by a factor of 4.
The complete question is given below:-
Given the following rate law, how does the rate of reaction change if the concentration of Y is doubled? Rate = k [X][Y]2
A) The rate of reaction will increase by a factor of 2.
B) The rate of reaction will increase by a factor of 5.
C) The rate of reaction will increase by a factor of 4.
D) The rate of reaction will decrease by a factor of 2.
E) The rate of reaction will remain unchanged.
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I-phones have been in such demand that their price goes up by $25 every year. If they were $430, what is the
new price 6 years later?
Find the position of F, on this number line. Please help, I need this explanation really fast
Answer:
1 5/6
Step-by-step explanation:
2x24 equals 2x. x6 whats the answer
2. Omar has of a pie left. He wants to share it equally among his 7 friends. How much of the pie will each
friend
friend receive? Justify you answer.
Answer:
See explanation
Step-by-step explanation:
p=1 pie
p divided by 7 is p/7 ==> 1/7
Each friend get 1/7 of the pie.
Since Omar only has half of the pie left and needs to share it equally among his 7 friends, we'll need to divide.
So, a pie has 6 pieces and Omar has only 3 pieces left.
Then, we divide 3 by 7. This gives us a REALLY long decimal so we would have to round.
The rounded answer would be 0.43.
Finally, each friend will get forty-three hundredths of the pie that is left.
Select the correct answer.
Which expression is equivalent to the given expression?
45
A.
9
5
B.
3
5
C.
5
3
D.
5
9
The expression which is equivalent to the given expression is option B. 3(5)^1/2
What is a surd?A surd is a topic which involves expressing a given number with a square root. Thus to arrive at the final expression, the answer is either a whole number or an expression involving a square root.
When a question involving a square root is given, the answer is a number which should be squared to give the same value in the given question.
Given: 45^1/2
we have;
45^1/2 = (5 x 9)^1/2
= 3(5)^1/2
So that the expression which is equivalent to the given expression is option B. 3(5)^1/2
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The expression that is equivalent to the given surd expression is; Option B. 3√5
How to solve surd problems?In Mathematics, surds are defined as the values in square root that cannot be further simplified into whole numbers or integers. Thus, surds can be classified as irrational numbers.
The question gives the surd expression as √45.
Now, according to surds product rule, we know that;
√45 = √(9 * 5)
= √9 * √5
= 3√5
Thus, we conclude that is the final simplification of the given surd expression.
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I am a number greater than $4,000 less than $6,000 by ones digit and 10 digit are the same my 10,000
digit is a one less than three times the sum of my ones digit and 10 digit in my thousand digit is half my hundred digit and the sum of those two digit is a 9
Answer:
the number is 53611
Step-by-step explanation:
mark me brainliest hope this answer helps
How many 7 digit phone number combinations are possible, except now assume that the phone number is not allowed to start with 911?
9990000 are 7 digit phone number combinations are possible.
what is permutation and combination?
In mathematics, there are two additional methods for dividing a set of components into subsets: combination and permutation. The elements of the subset may be mixed in any order. The subset's elements are listed in a permutation in a certain order.Find every 7-digit phone number combination that exists first.
Given that the digit can be repeated, a total of 107 combinations are available.
The next step is to identify all conceivable combination of seven-digit numbers that begin with "911."
since it begins with "911" Therefore, there are just 4 digits left. 104 combinations are thus feasible in total.
The total number of potential combinations that begin with "911" is then subtracted.
We finally get
10⁷ - 10⁴
= ( 10³ - 1 ) × 10⁴
= 999 × 10⁴
= 9990000
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8+
49
6-
5
Based on the graph above, estimate (to one decimal place) the average rate of change from x = 1 to
x = 5.
The Average Rate of change of a function f on the interval [a , b] is given by
[tex]r=\frac{f(b) - f(a)}{b-a}[/tex]
Now, the given interval is [1, 5]
⇒ b=5 and a = 1
Since, the graph passes through (1, 3) and (5, 5)
⇒ f(1) = 3 and f(5) = 5
Thus,
[tex]r=\frac{f(5) - f(1)}{5-1}[/tex]
[tex]r=\frac{5- 3}{4}[/tex]
[tex]r=\frac{2}{4}[/tex]
[tex]r=\frac{1}{2}[/tex]
[tex]r=0.5[/tex]
∴ The Average Rate of change of the graph is equal to 0.5
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8x+5=hx-8
find h
why does this only have one answer
Answer:
it's supposed to have 2 answers Because we are looking for h and x (we have two "unknown") so therefore we are gonna get two answer.if you don't mind let's solve it:8x+5=hx-8
collect like terms (values that are alike in one place)
8x-hx = -8-5
8x-hx = -13
8x -hx+13 =0
factorize
x(8-h) + 13 =0
we can't do nothing to it anymore I think
Hope this helpsace that workGood luck ✅22 ml of rboh is titrated with 35 ml of 0.9 m hf. what is the concentration of the base?
22 ml of rboh is titrated with 35 ml of 0.9 m hf. The concentration of the base is 1.43M.
What is titration?Titration is a method of chemical analysis in which the amount of a sample's ingredient is determined by adding an exact known amount of a different substance to the measured sample in which the desired constituent interacts in a specific, known proportion. Titrating reagent, or titrant, is often added to a standard solution (i.e., a solution of known concentration) using a burette, which is essentially a long, graduated measurement tube with a stopcock and a delivery tube at its bottom end. When the equivalence point is achieved, the addition is terminated.
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write an equation for the following math sentence
one fourth times the difference of ten and a variable
Given statement 'one fourth times the difference of ten and a variable' as a mathematical expression would be: 1/4 (10 - x)
In this question, we have been given a mathematical statement 'one fourth times the difference of ten and a variable'
We need to write an equation for the given math sentence.
Given math sentence: one fourth times the difference of ten and a variable
Let the variable be 'x'
We rewrite above statement as,
one fourth times the quantity ten minus x
⇒ 1/4 × (10 - x)
so, we get an expression 1/4 (10 - x)
Therefore, given statement 'one fourth times the difference of ten and a variable' as a mathematical expression would be: 1/4 (10 - x)
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x-7=15 answer please
Answer:
22.
Step-by-step explanation:
22-7=15.
5.69 ÷ 7
Please help I'm desperate
Show your work
Answer:0.81285714285
Step-by-step explanation: bc you are deviding by a desimal
What is an equation of the line that passes through the point (-4,-6) and is parallel to the line 2x-y=6
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]2x-y=6\implies -y=-2x+6\implies y=\stackrel{\stackrel{m}{\downarrow }}{2} x-6\leftarrow \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so we're really looking for the equation of a line whose slope is 2 and it passes through (-4 , -6)
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{-6})\hspace{10em} \stackrel{slope}{m} ~=~ 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{ 2}(x-\stackrel{x_1}{(-4)}) \implies y +6= 2 (x +4) \\\\\\ y+6=2x+8\implies y=2x+2[/tex]
Benson was inspired after reading a book on the Boston Marathon and decided he wanted to become a runner. On his first day of running, he weighed 197 pounds. After just six months of running, he weighed 181 pounds. What is the absolute change in Benson's weight over the first six months of his running journey?
Answer:16
Step-by-step explanation:
subtract the old number by the new number
197-181=16
Please show how f(x)=(2x+3)/(x-2) is continue in the interval ]2,infinity[
Answer:
See below
Step-by-step explanation:
A function is continuous within an interval if its first derivative exists
[tex]\text{The first derivative of }\dfrac{2x+3}{x\:-\:2} = \dfrac{d}{dx}\left(\dfrac{2x+3}{x\:-\:2}\right) = -\dfrac{7}{\left(x-2\right)^2}[/tex]
Let's call this first derivative g(x)
g(x) is defined at all values of x except at x=2 since at this value the denominator becomes 0 and g(x) is not defined.
So the function has a discontinuity at x = 2
But in the interval (2, ∞ ) the function g(x) always has a real value so f(x) is continuous in that interval
Identify the domain of the function shown in the graph.
Answer: B
Step-by-step explanation: B
mathhhhhhhhhhhhhh._ help plsssssss
Answer:
[tex](-4,-\frac{1}{2})[/tex]
Step-by-step explanation:
The midpoint of a line segment can be found using the midpoint formula below:
[tex]\boxed{\text{Midpoint}=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )}[/tex]
Note that [tex](x_1,y_1)[/tex] is the 1st coordinate and [tex](x_2,y_2)[/tex] is the 2nd coordinate of the end points.
Let's identify the coordinates of the two end points, A and B.
On both axes, a square represents 1 unit.
A(-5, -4) and B(-3, 3)
Applying the midpoint formula,
midpoint
= [tex](\frac{-5-3}{2} ,\frac{-4+3}{2} )[/tex]
= [tex](\frac{-8}{2},\frac{-1}{2} )[/tex]
= [tex]\bf{(-4,-\frac{1}{2}) }[/tex]
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a submarine is traveling 200 feet below sed level it then ascends 75 feet what is the new position of the submarine?
Answer: 83
Step-by-step explanation:
you travill 25 feet long
A building in a city has a rectangular base. The length of the base measures 75 ft less than three times the width. The
perimeter of this base is 810 ft. What are the dimensions of the base?
The dimensions of the rectangular base of the building with the given perimeter are 120ft and 285ft.
What are the dimensions of the rectangle base?The perimeter of rectangle is expressed as;
P = 2( l + w )
Given the data in the question;
Let x represent the width of the rectangular base.
Width w = xLength = l = 3x-75Perimeter P = 810ftPlug these values into the equation above.
P = 2( l + w )
810 = 2( (3x-75) + x )
810 = 6x - 150 + 2x
810 = 8x - 150
8x = 810 + 150
8x = 960
x = 960/8
x = 120
Hence,
Width of the rectangle = x = 120ft
Length of the rectangle = 3x-75 = 3(120) - 75 = 285ft
Therefore, the dimensions of the rectangular base of the building with the given perimeter are 120ft and 285ft.
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98.3 x 104.7
use 2 methods (do on paper please!)
It should be noted that the value of 98.3 x 104.7 will be 10292.01.
How to calculate the value?It should be noted that the first method will be to multiply the values directly. This will be:
= 98.3 x 104.7
= 10292.01
The second method will be to convey them to the nearest while number and multiply. This will be
= 98.3 × 104.7
= 98 × 105
= 10290
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if [tex]i = \sqrt{-1}, what is i^3[/tex]i^3 equal to?
Is 30/3 a natural number
Answer:
Yes
Step-by-step explanation:
30/3=10
10 is a whole number, so it is a natural number.
According to descartes's rule of sign, how many possible positive and negative roots are there for the equation 0=−4x6−3x5 2x2−4x 1?
There are three possible positive and one negative root for the equation.
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
We have been given the equation as
⇒ -4x⁶ - 3x⁵ + 2x² - 4x + 1 = 0
Check the polynomial "as is" for positive zeros, the symbol changes three times. This means that you might either have one or three positive zeros. If they are imagined, they will depart in pairs.
So changes signs 3 times: possible positive roots 3 or 3-2=1
The polynomial must be rewritten as [tex]f(-x)[/tex] for negative zeroes, or
⇒ -4x⁶ + 3x⁵ + 2x² + 4x + 1
This polynomial changes signs just once, So There will have 1 negative zero.
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The question seems to be incomplete the correct question would be
According to Descartes's rule of sign, how many possible positive and negative roots are there for the equation
-4x⁶ - 3x⁵ + 2x² - 4x + 1 = 0
